Question

It would be very much appreciated if I could get help on this question.

Answer 1

523.3 cm^3

Explanation:

You have a formula for the volume of a sphere:
`V=(4)/(3)\pi r^3` but to use it, you need the radius, r .

The panel on the left shows c = 31.4 cm (I am assuming c is the circumference, like the distance around the "equator" of the sphere).

What's the relationship of circumference of a circle (equator) to the radius?

`c=2\pi r`

So put 31.4 in for c in that last formula.

`31.4 =2\pi r`

If you use the approximate value of pi
`\pi \approx 3.14` that becomes

`31.4 = 2(3.14)r\\(31.4)/(6.28) = r\\\\5=r`

Aha! The radius r is 5 cm. Now go back to the formula for volume:

`V=(4)/(3) (3.14)(5^3)\\V=(4)/(3)(3.14)(125)\\V \approx 523.3 \text{ cm^3}`